Video: Solving One-Step Multiplication Linear Equations

If ๐‘ฅ/4 = 12, what is the value of ๐‘ฅ?

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Video Transcript

If ๐‘ฅ divided by four equals 12, what is the value of ๐‘ฅ?

In order to solve this one-step equation, we need to do the same to the left as we do to the right of the equation; this is known as balancing. To balance this equation, weโ€™re gonna multiply both sides by four. On the left-hand side, we have four multiplied by ๐‘ฅ divided by four and on the right-hand side, we have four multiplied by 12.

On the left-hand side, the fours cancel because four multiplied by quarter is one, leaving us with one ๐‘ฅ or ๐‘ฅ. On the right-hand side, four multiplied by 12 is 48. This means that the value of ๐‘ฅ is 48, when ๐‘ฅ divided by four equals 12.

We can check this answer by substituting the 48 back to our equation: 48 divided by four equals 12.

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